{"id":"https://openalex.org/W4388554447","doi":"https://doi.org/10.1137/23m1615188","title":"Mean Field Games in a Stackelberg Problem with an Informed Major Player","display_name":"Mean Field Games in a Stackelberg Problem with an Informed Major Player","publication_year":2024,"publication_date":"2024-06-13","ids":{"openalex":"https://openalex.org/W4388554447","doi":"https://doi.org/10.1137/23m1615188"},"language":"en","primary_location":{"id":"doi:10.1137/23m1615188","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1615188","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-04272731/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083255664","display_name":"Philippe Bergault","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I171048554","display_name":"Centre de Recherche en Math\u00e9matiques de la D\u00e9cision","ror":"https://ror.org/03s0gj002","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I171048554","https://openalex.org/I2746051580","https://openalex.org/I4210141950","https://openalex.org/I56435720"]},{"id":"https://openalex.org/I56435720","display_name":"Universit\u00e9 Paris Dauphine-PSL","ror":"https://ror.org/052bz7812","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580","https://openalex.org/I56435720"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Philippe Bergault","raw_affiliation_strings":["CEREMADE, UMR CNRS 7534, Universit\u00e9 Paris Dauphine-PSL, Place de Lattre de Tassigny, 75775 Paris Cedex 16, France"],"affiliations":[{"raw_affiliation_string":"CEREMADE, UMR CNRS 7534, Universit\u00e9 Paris Dauphine-PSL, Place de Lattre de Tassigny, 75775 Paris Cedex 16, France","institution_ids":["https://openalex.org/I56435720","https://openalex.org/I171048554","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032926943","display_name":"Pierre Cardaliaguet","orcid":"https://orcid.org/0000-0002-9322-6783"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I171048554","display_name":"Centre de Recherche en Math\u00e9matiques de la D\u00e9cision","ror":"https://ror.org/03s0gj002","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I171048554","https://openalex.org/I2746051580","https://openalex.org/I4210141950","https://openalex.org/I56435720"]},{"id":"https://openalex.org/I56435720","display_name":"Universit\u00e9 Paris Dauphine-PSL","ror":"https://ror.org/052bz7812","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580","https://openalex.org/I56435720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Cardaliaguet","raw_affiliation_strings":["CEREMADE, UMR CNRS 7534, Universit\u00e9 Paris Dauphine-PSL, Place de Lattre de Tassigny, 75775 Paris Cedex 16, France"],"affiliations":[{"raw_affiliation_string":"CEREMADE, UMR CNRS 7534, Universit\u00e9 Paris Dauphine-PSL, Place de Lattre de Tassigny, 75775 Paris Cedex 16, France","institution_ids":["https://openalex.org/I56435720","https://openalex.org/I171048554","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007125124","display_name":"Catherine Rainer","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I161929037","display_name":"Universit\u00e9 de Bretagne Occidentale","ror":"https://ror.org/01b8h3982","country_code":"FR","type":"education","lineage":["https://openalex.org/I161929037"]},{"id":"https://openalex.org/I4210119023","display_name":"Laboratoire de Math\u00e9matiques de Bretagne Atlantique","ror":"https://ror.org/02ght4n58","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2802204017","https://openalex.org/I4210119023","https://openalex.org/I4210141950","https://openalex.org/I4405260085"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Catherine Rainer","raw_affiliation_strings":["Univ Brest, UMR CNRS 6205, Laboratoire de Math\u00e9matiques de Bretagne Atlantique, 29285 Brest cedex, France"],"affiliations":[{"raw_affiliation_string":"Univ Brest, UMR CNRS 6205, Laboratoire de Math\u00e9matiques de Bretagne Atlantique, 29285 Brest cedex, France","institution_ids":["https://openalex.org/I161929037","https://openalex.org/I1294671590","https://openalex.org/I4210119023"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5083255664"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I171048554","https://openalex.org/I56435720"],"apc_list":null,"apc_paid":null,"fwci":2.1385,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.85861359,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"62","issue":"3","first_page":"1737","last_page":"1765"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9672999978065491,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stackelberg-competition","display_name":"Stackelberg competition","score":0.8551928997039795},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7161902785301208},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.5690836310386658},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5147738456726074},{"id":"https://openalex.org/keywords/bayesian-game","display_name":"Bayesian game","score":0.4625531733036041},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.4333668649196625},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.38346633315086365},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37250322103500366},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.34285277128219604},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16170352697372437},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.07765862345695496}],"concepts":[{"id":"https://openalex.org/C199510392","wikidata":"https://www.wikidata.org/wiki/Q1184602","display_name":"Stackelberg competition","level":2,"score":0.8551928997039795},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7161902785301208},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.5690836310386658},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5147738456726074},{"id":"https://openalex.org/C200594392","wikidata":"https://www.wikidata.org/wiki/Q812529","display_name":"Bayesian game","level":4,"score":0.4625531733036041},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4333668649196625},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.38346633315086365},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37250322103500366},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.34285277128219604},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16170352697372437},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.07765862345695496},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/23m1615188","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1615188","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04272731v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04272731","pdf_url":"https://hal.science/hal-04272731/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 2023, 62 (3), pp.1737-1765. ⟨10.1137/23M1615188⟩","raw_type":"Journal articles"},{"id":"pmh:oai:basepub.dauphine.psl.eu:123456789/25329","is_oa":false,"landing_page_url":"https://basepub.dauphine.psl.eu/handle/123456789/25329","pdf_url":null,"source":{"id":"https://openalex.org/S4306401007","display_name":"Base Institutionnelle de Recherche de l'universit\u00e9 Paris-Dauphine (BIRD) (University Paris-Dauphine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102197404","host_organization_name":"Universit\u00e9 Paris-Sud","host_organization_lineage":["https://openalex.org/I102197404"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Document de travail / Working paper"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04272731v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04272731","pdf_url":"https://hal.science/hal-04272731/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 2023, 62 (3), pp.1737-1765. ⟨10.1137/23M1615188⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388554447.pdf"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W1485289509","https://openalex.org/W1607455690","https://openalex.org/W1752918831","https://openalex.org/W1968067611","https://openalex.org/W1973258650","https://openalex.org/W1983321045","https://openalex.org/W1983997656","https://openalex.org/W2011000015","https://openalex.org/W2026814250","https://openalex.org/W2028316825","https://openalex.org/W2038686546","https://openalex.org/W2041869614","https://openalex.org/W2052982373","https://openalex.org/W2057470999","https://openalex.org/W2086139156","https://openalex.org/W2402179957","https://openalex.org/W2492629073","https://openalex.org/W2536340500","https://openalex.org/W2560718312","https://openalex.org/W2618428225","https://openalex.org/W2744036899","https://openalex.org/W2897327479","https://openalex.org/W2963516651","https://openalex.org/W2963940684","https://openalex.org/W2963980460","https://openalex.org/W3006477002","https://openalex.org/W3008053827","https://openalex.org/W3023486662","https://openalex.org/W3035508428","https://openalex.org/W3088265565","https://openalex.org/W3092876226","https://openalex.org/W3100387015","https://openalex.org/W3101492203","https://openalex.org/W3117463705","https://openalex.org/W3122637290","https://openalex.org/W3125484093","https://openalex.org/W3181839803","https://openalex.org/W4212907631","https://openalex.org/W4307279931","https://openalex.org/W4315781372"],"related_works":["https://openalex.org/W1522951333","https://openalex.org/W2120184307","https://openalex.org/W2355502700","https://openalex.org/W3145467316","https://openalex.org/W1000249520","https://openalex.org/W2528797658","https://openalex.org/W2605497830","https://openalex.org/W1976052704","https://openalex.org/W3169439878","https://openalex.org/W2050614322"],"abstract_inverted_index":{"We":[0,68],"investigate":[1],"a":[2,8,12,18,28,35,74,92],"stochastic":[3],"differential":[4],"game":[5,72],"in":[6,34,89],"which":[7,21],"major":[9,42,66,84],"player":[10,85],"has":[11,73],"private":[13],"information":[14],"(the":[15],"knowledge":[16],"of":[17,30,49,55,82,97],"random":[19,61],"variable),":[20],"she":[22],"discloses":[23],"through":[24],"her":[25],"control":[26,81],"to":[27],"population":[29,57],"small":[31,98],"players":[32],"playing":[33],"Nash":[36],"Mean":[37],"Field":[38],"Game":[39],"equilibrium.":[40],"The":[41],"player's":[43],"cost":[44,54],"depends":[45,58],"on":[46,59],"the":[47,50,53,56,60,65,71,79,83],"distribution":[48],"population,":[51],"while":[52],"variable":[62],"known":[63],"by":[64],"player.":[67],"show":[69],"that":[70,78],"relaxed":[75],"solution":[76],"and":[77],"optimal":[80,88],"is":[86],"approximatively":[87],"games":[90],"with":[91],"large":[93],"but":[94],"finite":[95],"number":[96],"players.":[99]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}